Question

for each figure, decide which category or categories describe it. choose all categories that apply.
quadrilateral parallelogram rectangle

Explanation:

Step1: Analyze the first figure (orange rectangle)

A quadrilateral is a 4 - sided polygon. A parallelogram has opposite sides parallel and equal. A rectangle is a parallelogram with 4 right angles. The orange figure has 4 sides, so it is a quadrilateral. Its opposite sides are parallel and equal, so it is a parallelogram. It has 4 right angles, so it is a rectangle. So we check Quadrilateral, Parallelogram, Rectangle.

Step2: Analyze the second figure (blue rhombus)

A rhombus has 4 sides, so it is a quadrilateral. A rhombus is a type of parallelogram (opposite sides parallel and equal). But it does not have 4 right angles, so it is not a rectangle. So we check Quadrilateral, Parallelogram.

Step3: Analyze the third figure (gray trapezoid - like)

A trapezoid has 4 sides, so it is a quadrilateral. But it does not have both pairs of opposite sides parallel (only one pair is parallel), so it is not a parallelogram, and thus not a rectangle. So we check Quadrilateral.

Answer:

• First figure (orange): Quadrilateral (checked), Parallelogram (checked), Rectangle (checked)
• Second figure (blue): Quadrilateral (checked), Parallelogram (checked), Rectangle (un - checked)
• Third figure (gray): Quadrilateral (checked), Parallelogram (un - checked), Rectangle (un - checked)